Characterizing ring derivations of all orders via functional equations: results and open problems
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  • 作者:Bruce Ebanks
  • 关键词:Primary 39B52 ; 39B72 ; Secondary 13N15 ; 16W25 ; Ring derivation ; Derivation of higher order ; Additive map ; Homogeneous function ; Integral domain
  • 刊名:Aequationes Mathematicae
  • 出版年:2015
  • 出版时间:June 2015
  • 年:2015
  • 卷:89
  • 期:3
  • 页码:685-718
  • 全文大小:678 KB
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    16.Ng C.T.: On the equation F(x)聽+聽M(x)G(1/x)聽=聽0 and homogeneous bi-additive forms. Linear Algebra Appl. 93, 255鈥?79 (1987)View Article MATH MathSciNet
    17.Nishiyama A., Horinouchi S.: On a system of functional equations. Aequat. Math. 1, 1鈥? (1968)View Article MATH MathSciNet
    18.Reich L.: Derivationen zweiter Ordnung als L枚sungen von Funktionalgleichungen. Grazer Math. Ber. 337, 45鈥?5 (1998)MATH
    19.Unger J., Reich L.: Derivationen h枚herer Ordnung als L枚sungen von Funktionalgleichungen. Grazer Math. Ber. 336, 1鈥?3 (1998)MATH MathSciNet
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  • 作者单位:Bruce Ebanks (1)

    1. Department of Mathematics and Statistics, Mississippi State University, PO Drawer MA, Mississippi State, MS, 39762, USA
  • 刊物类别:Mathematics and Statistics
  • 刊物主题:Mathematics
    Analysis
    Combinatorics
  • 出版者:Birkh盲user Basel
  • ISSN:1420-8903
文摘
We provide a unifying framework for the treatment of equations of the form $$\sum_{k=1}^n x^{p_k} f_k (x^{q_k}) = 0$$

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